What is the Least Common Multiple of 42368 and 42383?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 42368 and 42383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42368 and 42383, than apply into the LCM equation.

GCF(42368,42383) = 1
LCM(42368,42383) = ( 42368 × 42383) / 1
LCM(42368,42383) = 1795682944 / 1
LCM(42368,42383) = 1795682944

Least Common Multiple (LCM) of 42368 and 42383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42368 and 42383. First we will calculate the prime factors of 42368 and 42383.

Prime Factorization of 42368

Prime Factorization of 42383

Now multiplying the highest exponent prime factors to calculate the LCM of 42368 and 42383.

LCM(42368,42383) = 2⁷ × 331¹ × 11¹ × 3853¹
LCM(42368,42383) = 1795682944